The judge in the heavyweight divorce fight between Mayor Giuliani and Donna Hanover is going to the scorecards today to decide whether the mayor’s “good friend” should be allowed in Gracie Mansion.

Lawyers for both sides are expected to file papers today on two separate issues pending before Manhattan Supreme Court Justice Judith Gische – whether Judith Nathan should be allowed into the official mayoral residence and whether a gag order in the case should be reinstated.

Gische will issue written decisions on the matters after studying the arguments, and isn’t expected to rule until next week.

In the battle over Gracie, Hanover lawyer Victor Kovner said his side will argue that the East Side mansion is a private residence – and Nathan should stay away.

“The mansion is not open to the public, except for limited public tours two day a week” which are set up on three-days’ notice, Kovner said.

The Board of Estimate designated Gracie as the official mayoral residence in 1942. Kovner said his stance that the home is private is backed by a 1964 city agreement “acknowledging all events held there should not impede on the privacy of the mayor and his family.”

Giuliani’s side contends that part of the mansion is public, and Nathan should be allowed in that part, as she has been at least five times over the past year.

“Their rationale is that because there’s a guard posted outside, it’s a private residence,” the mayor’s lawyer, Raoul Felder, said Monday. “Part of it is private, but part of it is public. You can have events with 2,000 people there.”

Gische has asked for both sides to bring in schematics of the mansion and all entrances and exits. The city is refusing to give any detailed blueprints of the home to the judge, even though the court file in the case is sealed.

“They said there are security issues,” Kovner said, adding that his client doesn’t have a problem with the decision. He said his side intends to turn in a “rough layout” of the home.

Felder’s filing a motion seeking to have a gag order put back in place. Gische lifted a temporary gag order requested by the lawyer last week, saying she didn’t think he was on firm legal ground, but she urged both sides at the Friday hearing to show “restraint” for the sake of the couple’s two kids.

Felder, however, immediately launched into a series of attacks against Hanover, calling her a “foolish” and “trivial” woman and “an uncaring mother.”

On Monday, Giuliani said there shouldn’t be any “harsh words” in the case, but Felder continued his barbs, and said Hanover once taunted the mayor about his battle with cancer.

Felder was silent yesterday, and didn’t return calls from reporters. Asked if he’d told Felder to zip his lip, Giuliani said, “I’m not going to say anything about it.”

Kovner called the lack of Felder fury an “encouraging” development. “It appears the mayor has exercised some control over his own lawyer,” he said.